GATE PI topic:industrial-engineering PYQs & Answers — Page 39

Questions 381–390 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 39 of 65

A single point cutting tool with 15° orthogonal rake angle is used to machine a mild steel plate under orthogonal machining condition. The depth of cut (uncut thickness) is set at 0.9 mm. If the chip thickness is 1.8 mm, then the shear angle in degree is ________. [round off to one decimal place]

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The top layer of a flat 750 mm × 300 mm rectangular mild steel plate is to be machined with a single depth of cut using a shaping machine. The plate has been fixed by keeping 750 mm side along the tool travel direction. If the approach and the over-travel are 25 mm each, average cutting speed is 10 m/min, feed rate is 0.4 mm/stroke, and the ratio of return time to cutting time of the tool is 1:2, the time (in minutes) required to complete the machining operation is ________. [round off to one decimal place]

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A 3 mm thick steel sheet, kept at room temperature of 30 °C, is cut by a fiber laser beam. The laser spot diameter on the top surface of the sheet is 0.2 mm. The laser absorptivity of the sheet is 50%. The properties of steel are density = 8000 kg/m³, specific heat = 500 J/kg°C, melting temperature = 1530 °C, and latent heat of fusion = 3×10⁵ J/kg. Assume that melting efficiency is 100% and that the kerf width is equal to the laser spot diameter. The maximum speed (in m/s) at which the sheet can be fully cut at 2 kW laser power is ________. [round off to 3 decimal places]

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In a point-to-point open-loop NC drive, a stepper motor with 1.8° step angle is coupled to a leadscrew through a gear reduction of 4:1 (4 rotations of the motor enables 1 rotation of leadscrew). The single-start leadscrew has a pitch of 4 mm. The worktable of the system is driven by the leadscrew. If the table moves at a uniform speed of 10 mm/s, the pulse frequency (in Hz) required to drive the stepper motor is ________. [round off to one decimal place]

Diagram for Production and Industrial Engineering question 49

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A 30 kg smooth, solid sphere rests on two frictionless inclines as shown in the figure. The magnitude of contact force in N acting at the point A is (take acceleration due to gravity g = 9.81 m/s² and consider both sphere and inclines to be rigid) ________. [round off to 2 decimal places]

Diagram for Production and Industrial Engineering question 50

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Consider the truss shown in the figure. The members AB, BC, and CA are all rigid and form an equilateral triangle. The contact between roller and ground at C is frictionless. If the self-weight of members is neglected, the force in member BC in N is (negative sign should be used if the force is compressive and positive if the force in the member is tensile) ________. [round off to one decimal place]

Diagram for Production and Industrial Engineering question 51

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A fluid with dynamic viscosity

Pa.s is flowing through a circular pipe with diameter 1 cm. If the flow rate (discharge) in the pipe is 0.2 liter/s, the maximum velocity in m/s of the fluid in the pipe is (assume fully developed flow and take fluid density

kg/m³) ________. [round off to one decimal place]

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Values of function

at discrete values of

for

are given in table. Using trapezoidal rule,

________. [round off to one decimal place]

x	0	1	2	3	4	5	6	7	8	9	10
y(x)	5	3	0	-5	-10	-6	0	5	11	18	30

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Temperature field inside a sphere of radius

m with origin at its center is

. If thermal conductivity of the sphere material is

W/m.K and Fourier law of heat conduction is valid, net heat leaving the sphere per unit time in W is ________. [round off to one decimal place]

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A 3.5 mm thick sheet is rolled using a two high rolling mill to reduce the thickness under plane strain condition. Both rolls have a diameter of 500 mm and are rotating at 200 RPM. The coefficient of friction at the sheet and roll interface is 0.08, and the elastic deflection of the rolls is negligible. If the mean flow strength of the sheet material is 400 MPa, then the minimum possible thickness (in mm) of sheet that can be produced in a single pass is ________. [round off to 2 decimal places]

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GATE PI topic:industrial-engineering PYQs

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55